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Finding the Fourth Proportional to 527,696.78, 728,222.16 and 285,979.34

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Solution

The fourth proportional to 527,696.78, 728,222.16 and 285,979.34 is: 394,651.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,696.78 : 728,222.16 = 285,979.34 : x
  2. Step 2: Convert to fraction form
    527,696.78/728,222.16 = 285,979.34/x
  3. Step 3: Cross multiply
    527,696.78x = 728,222.16 × 285,979.34
  4. Step 4: Simplify right side
    527,696.78x = 208,256,492,690.17
  5. Step 5: Solve for x
    x = 208,256,492,690.17/527,696.78
  6. Step 6: Final answer
    x = 394,651.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.